20101211012101 has 16 divisors (see below), whose sum is σ = 20886437265408. Its totient is φ = 19333798426800.

The previous prime is 20101211012087. The next prime is 20101211012107. The reversal of 20101211012101 is 10121011210102.

It is a happy number.

It is a cyclic number.

It is not a de Polignac number, because 20101211012101 - 2²³ = 20101202623493 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20101211012107) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15214245 + ... + 16482586.

It is an arithmetic number, because the mean of its divisors is an integer number (1305402329088).

Almost surely, 2^{20101211012101} is an apocalyptic number.

It is an amenable number.

20101211012101 is a deficient number, since it is larger than the sum of its proper divisors (785226253307).

20101211012101 is a wasteful number, since it uses less digits than its factorization.

20101211012101 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31697112.

The product of its (nonzero) digits is 8, while the sum is 13.

Adding to 20101211012101 its reverse (10121011210102), we get a palindrome (30222222222203).

The spelling of 20101211012101 in words is "twenty trillion, one hundred one billion, two hundred eleven million, twelve thousand, one hundred one".